International Journal of Mathematics and Statistics Studies (IJMSS)

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ON THE STABILITY OF SOLUTIONS OF A CERTAIN GENERAL THIRD ORDER NON LINEAR ORDINARY DIFFERENTIAL EQUATION

Abstract

This Work Deals With The Stability Of Solutions Of The Nonlinear Third Order Autonomous Ordinary Differential Equationx ⃛+f(x,x ̇)x ̈+g(x) x ̇+h(x)=0. The Main Object Of This Paper Is To Establish Sufficient Conditions For The Asymptotic Stability Of The Trivial Solution x ̅ = 0 ̅ By Constructing A Suitable Liapounov Functional

Keywords: Stability; Trivial Solution; Liapounov Functional; Positive Definite; Negative Definite.

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This work by European American Journals is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 Unported License

 

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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